We were on vacation in Arches National Park, watching a satellite and shooting stars on an exceptionally dark, clear night. Then, in the southern hemisphere, near the satellite path, we saw a very fast moving light, moving about 30 times faster than the satellite, although we could not judge the actual distance of the light from us. The light was far away. It would zig, and zag, then stop and hover, then zig and zag again at diagonal, horizontal and vertical angles at extremely fast speeds. It almost appeared to "jump" from place to place, it was so fast. Our elevation was over 4,000 feet and there were no lights nearby. If it had not been such a clear and dark night, I doubt that we would have seen it. We saw the light for about an hour until we left and went to sleep. Neither of us had ever seen a UFO before. I have good eyesight-better than 20/20 vision. Sorry I didn't have a video camera.I realize that this doesn't provide much info-it was a sighting from far away. However, if other people saw this at the same time and place, perhaps it will help. Please don't contact me unless you need more help or information. Please don't release my name.